Question

I have a total of 300 in coins of denomination * 1,2 and 5. The
number of ₹2 coins is 3 times the number of ₹5 coins. The total number of
coins is 160. How many coins of each denomination are with me?

Answer 1

number of ₹ 5 coins =x= 20

• number of ₹2 coins =3 x = 3 ×20 = 60
• number of ₹ 1 coins = 160 -4x=160-4×20 = 160 - 80 = 80.

i hope this will help you .

Answer 2

Let the number of ₹5 coins be x.

Then,

number ₹2 coins = 3x

and, number of ₹1 coins = (160 – 4x) Now,

Value of ₹5 coins = x × 5 = 5x

Value of ₹2 coins = 3x × 2 = 6x

Value of ₹1 coins = (160 – 4x) × 1 = (160 – 4x)

According to the question,

5x + 6x + (160 – 4x) = 300

⇒ 11x + 160 – 4x = 300

⇒ 7x = 140

⇒ x = 140/7

⇒ x = 20

Number of ₹5 coins = x = 20

Number of ₹2 coins = 3x = 60

Number of ₹1 coins = (160 – 4x) = 160 – 80 = 80